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They are less pathological (semialgebraic functions vs lower semicontinuous), but still -- this is **much more** expressive than polynomial functions. An alternative question is: what conditions should you put on f,g? This is the topic of our preprint arxiv.org/abs/2502.09074

Apr 2, 2025, 8:41 AM

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    "text": "They are less pathological (semialgebraic functions vs lower semicontinuous), but still -- this is **much more** expressive than polynomial functions.\n\nAn alternative  question is: what conditions should you put on f,g? This is the topic of our preprint arxiv.org/abs/2502.09074",
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        "title": "Bilevel gradient methods and Morse parametric qualification",
        "description": "Morse parametric qualification condition is a new condition that generalizes uniform strong convexity. Generic semi-algebraic functions are Morse parametric in a piecewise sense, implying that generic..."
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